677113 ÷ 33 
We're looking to find how many times 33 goes into 677113.

Moving on to step 1:
If we divide 6 by 33, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 33

Moving on to step 2:
33 can be fit into 67 2 times, resulting in a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 66 from 67, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 33

Advancing to step 3:
33 goes into 17 0 times with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 20.0
If we take 0 away from 17, we end up with 17.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 33

Moving on to step 4:
33 can be fit into 171 5 times, resulting in a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 205.0
Subtracting 165 from 171 leaves us with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 33

Let's proceed to step 5:
61 divided by 33 is 1 with a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 2051.0
If we subtract 33 from 61, we get 28.
Include the next digit (3) from the dividend after 28, then repeat: 283 / 33

On to step 6:
When dividing 283 by 33, we get 8 with a remainder of 19.
The number 8 becomes the next digit in our result. 
Result so far: 20518.0
Deduct 264 from 283 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
If we divide 190 by 33, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 20518.5
If we subtract 165 from 190, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
33 goes into 250 7 times with a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 20518.57
Subtracting 231 from 250 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 9:
The number 33 fits into 190 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 20518.575
Subtracting 165 from 190 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 10:
The number 33 fits into 250 7 times, leaving a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 20518.5757
If we take 231 away from 250, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 11:
33 goes into 190 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 20518.57575
Subtracting 165 from 190 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 12:
If we divide 250 by 33, we get 7 and a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 20518.575757
The remainder is 19 after subtracting 231 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 13:
If we divide 190 by 33, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 20518.5757575
Subtract 165 from 190 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 14:
250 divided by 33 is 7 with a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 20518.57575757
Subtract 231 from 250 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

After the division, we end up with 20518.57575757 and a remainder of 1.9e-08.